8.262 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 1 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.063 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.066 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.073 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.101 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.102 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.102 * * * [progress]: adding candidates to table 0.126 * [progress]: [Phase 3 of 3] Extracting. 0.127 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.128 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.128 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.128 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.653 * [regime-testing]: End program error score: 0.006500812601575197